222128411184729 has 63 divisors (see below), whose sum is σ = 387419099131407. Its totient is φ = 126928911047904.

The previous prime is 222128411184679. The next prime is 222128411184733. The reversal of 222128411184729 is 927481114821222.

The square root of 222128411184729 is 14903973.

It is a perfect power (a square), and thus also a powerful number.

222128411184729 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 28 + 411 + 184 + 7 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57769652403225 + 164358758781504 = 7600635^2 + 12820248^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 222128411184729 - 2¹⁷ = 222128411053657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222128411184739) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2816811469 + ... + 2816890325.

Almost surely, 2^{222128411184729} is an apocalyptic number.

222128411184729 is the 14903973-rd square number.

222128411184729 is the 7451987-th centered octagonal number.

It is an amenable number.

222128411184729 is a deficient number, since it is larger than the sum of its proper divisors (165290687946678).

222128411184729 is an frugal number, since it uses more digits than its factorization.

222128411184729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157746 (or 78867 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 222128411184729 in words is "two hundred twenty-two trillion, one hundred twenty-eight billion, four hundred eleven million, one hundred eighty-four thousand, seven hundred twenty-nine".